Joint Triangulations and Triangulation Maps
Joint Triangulations and Triangulation Maps
RR87-23
Abstract
In rubber-sheeting applications in cartography, it is useful to seek piecewise-linear homeomorphisas (PLH maps) between rectangular regions which map an arbitrary sequence of n points (p1, p2, ...pn) from the interior of one rectangle to a corresponding sequence of n points in the interior of the second region. This paper proves that it is always possible to find such PLH maps and describes them in terms of a joint triangulation of the domain and the range rectangular regions.
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Page Last Revised - October 28, 2021